MAT 536: We shall introduce the basic language of algebraic varieties, e.g. affine and quasi-projective varieties, maps, rational maps, products, Segre and Veronese maps, blowing-up, dimensions. As time permits, we shall cover topics such as the local theory, normalization, divisors, algebraic groups, forms, intersection indices (especially on surfaces).
TEXTBOOK(s): The main textbook is ``Basic Algebraic Geometry," by Shafarevic. We shall concentrate on Part I, i.e. on chapters I, II and then parts of chapters III and IV.
GRADE: Based on in-class participation, homework and presentations.
Special needs. If you have a physical, psychological, medical, or learning disability that may impact on your ability to carry out assigned course work, you are strongly urged to contact the staff in the Disabled Student Services (DSS) office: Room 133 in the Humanities Building; 632-6748v/TDD. The DSS office will review your concerns and determine, with you, what accommodations are necessary and appropriate. All information and documentation of disability is confidential. Arrangements should be made early in the semester (before the first exam) so that your needs can be accommodated.